**Quadratic Equation Class 10 Maths, deals with various concepts which are as under:-**

- Quadratic Equations
- Solution of a Quadratic Equation by Factorisation
- Solution of a Quadratic Equation by Completing the Square
- Nature of Root

### What are quadratic equation and examples

#### What is quadratic equations?

Quadratic equation is the equation in which the highest power of the variable is 2.

For example: ax²+bx+c=0

#### Check whether following are quadratic equations:

A)(x-1)²=3(x+2)

B)(x-1)³=x(x+1)²

**Write a Quadratic equation from a Statement**

A.The product of two consecutive positive integers is 210. We need to find the integers?

B.The area of a rectangle is 90m². The length of the rectangle is 3 more than the twice of the breadth. We need to find the length and breadth of the rectangle?

**2. Solution of a Quadratic Equation by Factorisation – Quadratic Equation Class 10**

- Roots of Quadratic Equations
- Solving Quadratic Equations by factoring

**Solving Quadratic Equations by factoring Examples**

**Find two numbers when their sum and products are given**

**Finding value of unknown variable when root of Quadratic Equations is given**

#### Finding Consecutive Numbers using Quadratic Equations

#### Quadratic Equation Word Problem 1

**Quadratic Equation Word Problem 2**

**Solution of a Quadratic Equation by Completing the Square – Quadratic Equation Class 10**

**Finding roots by completing the square method**

#### Using Quadratic Formula to find roots of a Quadratic Equation

#### Quadratic Equations roots by completing squares – Example 1

### Nature of roots of quadratic equations

The nature of roots depends on the value of b²-4ac

So if b²-4ac=0 then both the roots are real and equal.

If b²-4ac<0 then roots are not real.

If b²-4ac>0 then roots are distinct and real.

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